51949536883200 has 2880 divisors, whose sum is σ = 223059824507520. Its totient is φ = 11853692928000.

The previous prime is 51949536883187. The next prime is 51949536883207. The reversal of 51949536883200 is 238863594915.

51949536883200 is a `hidden beast` number, since 5 + 1 + 9 + 495 + 3 + 68 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (51949536883207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40680920962 + ... + 40680922238.

It is an arithmetic number, because the mean of its divisors is an integer number (77451327954).

Almost surely, 2^{51949536883200} is an apocalyptic number.

51949536883200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51949536883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111529912253760).

51949536883200 is an abundant number, since it is smaller than the sum of its proper divisors (171110287624320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51949536883200 is a wasteful number, since it uses less digits than its factorization.

51949536883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 51949536883200 in words is "fifty-one trillion, nine hundred forty-nine billion, five hundred thirty-six million, eight hundred eighty-three thousand, two hundred".